Sufficient vs Necessary Assumption: the difference that decides the answer

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These are the two question types students most often confuse, and the confusion is expensive because they run in opposite directions. A Necessary Assumption is something the argument CANNOT do without. A Sufficient Assumption is something that, if added, would make the argument airtight. One is a minimum requirement; the other is enough to finish the job.

Telling them apart from the stem

Necessary stems ask what the argument "requires", "depends on", or "assumes". Sufficient stems ask what, "if assumed", would "allow the conclusion to be properly drawn" or make it "follow logically". That phrase — if assumed, then the conclusion follows — is the tell, and it is worth training until you catch it without thinking.

Get this wrong and you will reliably pick a defensible answer that loses. Necessary answers tend to be modest, even weak, because a requirement can be small. Sufficient answers tend to be strong, sometimes startlingly strong, because they have to carry the whole gap. A student hunting for the modest answer on a Sufficient question rejects the correct one for sounding too extreme.

The negation test, and when it applies

For NECESSARY questions only: negate the answer and ask whether the argument collapses. If it does, that answer was required. If the argument survives, it was not.

Say an argument concludes a new bus lane will cut downtown congestion, on the evidence that buses will move faster. A candidate assumption: "at least some drivers will switch to the bus." Negate it — no drivers switch at all — and the conclusion is dead. So it is necessary. Now try "the bus lane will eliminate congestion entirely." Negate it: congestion is not eliminated entirely. The argument only claimed a cut, so it survives comfortably. Not necessary, and much too strong.

Do not run the negation test on a Sufficient question. It is the wrong instrument, and it will talk you out of the correct answer, which is often something the argument does not strictly require but which would close the gap if true.

How the wrong answers are built

  • Too strong for a Necessary question. "All", "every", "never" — an argument rarely requires an absolute. If negating it leaves the argument standing, it was never a requirement.
  • Too weak for a Sufficient question. An answer that helps but leaves the gap open does not let the conclusion be "properly drawn", which is what the stem demanded.
  • A new term that never connects. Sufficient answers must bridge the exact gap between the evidence's vocabulary and the conclusion's. An answer introducing a third idea usually bridges nothing.
  • True but irrelevant. Something the passage supports, or that is simply correct about the world, and which the argument does not lean on at all.
  • The reversed conditional. The answer states the right two ideas in the wrong order — a persistent trap, and the same error Flaw questions test directly.

The habit

Find the conclusion, find the evidence, and name the gap between them in your own words before reading anything. Then let the stem tell you which size of answer you are shopping for: the smallest thing the argument needs, or a thing big enough to finish it.

A real Sufficient Assumption question, from the bank subscribers practice on

Sediment now fills nearly a fifth of the Ardmore Reservoir. Dredging it would restore the lost capacity, but the dredged material contains mercury from a mill that closed decades ago, and state rules bar depositing mercury-bearing spoil in any active landfill. The only alternative disposal site lies across the watershed divide. It follows that the district cannot dredge Ardmore this decade. Trucking spoil across the divide would require a haul road, and the district's engineers have determined that no haul road can be permitted, built, and used within ten years.

The conclusion above follows logically if which one of the following is assumed?

The conclusion above follows logically if which one of the following is assumed?

Pick one to see the explanation. No account, nothing to dismiss.

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